(7x+6y)(7x-6y)=

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Solution for (7x+6y)(7x-6y)= equation:


Simplifying
(7x + 6y)(7x + -6y) = 0

Multiply (7x + 6y) * (7x + -6y)
(7x * (7x + -6y) + 6y * (7x + -6y)) = 0
((7x * 7x + -6y * 7x) + 6y * (7x + -6y)) = 0

Reorder the terms:
((-42xy + 49x2) + 6y * (7x + -6y)) = 0
((-42xy + 49x2) + 6y * (7x + -6y)) = 0
(-42xy + 49x2 + (7x * 6y + -6y * 6y)) = 0
(-42xy + 49x2 + (42xy + -36y2)) = 0

Reorder the terms:
(-42xy + 42xy + 49x2 + -36y2) = 0

Combine like terms: -42xy + 42xy = 0
(0 + 49x2 + -36y2) = 0
(49x2 + -36y2) = 0

Solving
49x2 + -36y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '36y2' to each side of the equation.
49x2 + -36y2 + 36y2 = 0 + 36y2

Combine like terms: -36y2 + 36y2 = 0
49x2 + 0 = 0 + 36y2
49x2 = 0 + 36y2
Remove the zero:
49x2 = 36y2

Divide each side by '49'.
x2 = 0.7346938776y2

Simplifying
x2 = 0.7346938776y2

Take the square root of each side:
x = {-0.857142857y, 0.857142857y}

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